Find the circumference of a circle whose diameter is 19 inches. Use
A. 59.66 in. B. 29.83 in. C.
in D. 119.32 in
The Correct Answer and Explanation is:
To find the circumference of a circle, we use the formula:C=π×dC = \pi \times dC=π×d
Where:
- CCC is the circumference,
- ddd is the diameter of the circle,
- π\piπ is approximately 3.1416.
In this case, the diameter of the circle is 19 inches.
So we plug the values into the formula:C=3.1416×19C = 3.1416 \times 19C=3.1416×19
Now, calculate:C=59.6904 inchesC = 59.6904 \text{ inches}C=59.6904 inches
Rounding this to two decimal places, we get:C≈59.66 inchesC \approx 59.66 \text{ inches}C≈59.66 inches
Therefore, the correct answer is A. 59.66 in.
Explanation:
The formula for the circumference of a circle is directly linked to its diameter. As the diameter is the distance from one side of the circle to the other, passing through the center, multiplying this value by π\piπ gives the total length around the edge of the circle. The use of π≈3.1416\pi \approx 3.1416π≈3.1416 is an approximation, but it is usually precise enough for everyday calculations. When you multiply the diameter of 19 inches by π\piπ, you get 59.6904 inches, which, when rounded, becomes 59.66 inches, matching option A.
